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Finding the Fourth Proportional to 134,820, 186,051.60 and 75,204

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Solution

The fourth proportional to 134,820, 186,051.60 and 75,204 is: 103,781.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,820 : 186,051.60 = 75,204 : x
  2. Step 2: Convert to fraction form
    134,820/186,051.60 = 75,204/x
  3. Step 3: Cross multiply
    134,820x = 186,051.60 × 75,204
  4. Step 4: Simplify right side
    134,820x = 13,991,824,526.40
  5. Step 5: Solve for x
    x = 13,991,824,526.40/134,820
  6. Step 6: Final answer
    x = 103,781.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.